Modular Interpolation Spaces I
Copyright policy )Modular Interpolation Spaces I
An interpolation method in modular spaces is introduced and basic properties of obtained interpolation spaces are studied (completness, imbeddings etc.). The main result hero is a reiteration theorem. It is shown how the method works in Orlicz spaces and as an example of applications there is proved a multiplier theorem of the Michlin type. The method generalizes the K -method of Peetre.
interpolation spaces, multiplier theorem of the Mikhlin type, Sobolev-Orlicz spaces, Abstract interpolation of topological vector spaces, modular-continuous operators, modular space, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Orlicz space, stability of an interpolation method, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
interpolation spaces, multiplier theorem of the Mikhlin type, Sobolev-Orlicz spaces, Abstract interpolation of topological vector spaces, modular-continuous operators, modular space, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Orlicz space, stability of an interpolation method, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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